In △LMN and △PQR the following information is known: LM=PQ, LN=PR and ∠MLN=∠QPR.
(i) Does the information given above alone establish that the two triangles are congruent? Explain your answer clearly.
(ii) State any one additional piece of information which, together with the data in part (i), will be sufficient to prove the two triangles congruent. Name the congruence criterion that will then apply.
(iii) Give a reason why knowledge of a non-included angle is generally insufficient when only two sides of each triangle are known to be equal.